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Relaxing the multi-stage nested return algorithm for curved yield surfaces and nonlinear hardening laws

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Abstract

The multi-stage nested return algorithm is an efficient approach for implementing plasticity and damage models that addresses issues of nonuniqueness and nonconvergence, and which was previously shown to perform well in a variety of verification tests. Straightforward modifications to this algorithm are shown to improve the robustness for high-curvature yield surfaces and nonlinear hardening laws. Improved methods for computing the initial “fast return” are presented with application to two-surface geomodels. These modifications reduce the need for subcycling while maintaining the efficiency of the algorithm.

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Acknowledgments

The authors are grateful for the support received from the Perforating Research Group within Schlumberger Technology, Ltd, Harvey Williams, Director.

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Authors and Affiliations

  1. Department of Mechanical Engineering, University of Utah, 2134 MEB; 50 S. Central Campus Dr., Salt Lake City, UT, 84112, USA

    Michael A. Homel & Rebecca M. Brannon

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  1. Michael A. Homel
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  2. Rebecca M. Brannon
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Correspondence to Rebecca M. Brannon.

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Homel, M.A., Brannon, R.M. Relaxing the multi-stage nested return algorithm for curved yield surfaces and nonlinear hardening laws. Int J Fract 194, 51–57 (2015). https://doi.org/10.1007/s10704-015-0031-4

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  • DOI: https://doi.org/10.1007/s10704-015-0031-4

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